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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 150 · 40 sums
TalentJR

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

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  1. 1.Find the value of 9a + 9b when a = 10 and b = 9.
  2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  3. 3.Find the value of 8n − 20 when n = 3.
  4. 4.Find the value of 4t − 3 when t = 5.
  5. 5.Solve: p + 12 = 25. What is p?
  6. 6.Find the value of 2a + 4b when a = 8 and b = 8.
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  8. 8.Joseph shares p flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
  9. 9.Find the value of 3a + 2b when a = 2 and b = 5.
  10. 10.Find the value of 6a + 6b when a = 2 and b = 1.
  11. 11.Solve: 11x = 33. What is x?
  12. 12.Pooja has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
  13. 13.Solve: x − 5 = 16. What is x?
  14. 14.Solve: x ÷ 9 = 10. What is x?
  15. 15.Dev has n laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) 4n (b) n ÷ 4 (c) n + 4 (d) n − 4
  16. 16.Solve: 4t = 56. What is t?
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  18. 18.Solve: t + 4 = 22. What is t?
  19. 19.Find the value of 2a + 3b when a = 7 and b = 2.
  20. 20.Solve: y + 11 = 22. What is y?
  21. 21.Solve: p − 2 = 3. What is p?
  22. 22.Find the value of 2a + 6b when a = 10 and b = 9.
  23. 23.Find the value of 3y + 9 when y = 3.
  24. 24.Solve: t − 9 = 15. What is t?
  25. 25.Solve: y − 10 = 1. What is y?
  26. 26.Meera has n flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
  27. 27.Find the value of 2m − 8 when m = 5.
  28. 28.Solve: x − 4 = 10. What is x?
  29. 29.Find the value of 2a + 6b when a = 8 and b = 9.
  30. 30.Solve: m ÷ 4 = 19. What is m?
  31. 31.Solve: m + 3 = 8. What is m?
  32. 32.Find the value of 6x − 28 when x = 5.
  33. 33.Kavya has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
  34. 34.Find the value of 2y + 13 when y = 3.
  35. 35.Find the value of 8a + 3b when a = 8 and b = 10.
  36. 36.Find the value of 3t + 13 when t = 11.
  37. 37.Find the value of 8x + 17 when x = 1.
  38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  39. 39.Solve: x + 5 = 23. What is x?
  40. 40.Find the value of 2p − 12 when p = 10.

Answer key

  1. 171
  2. 12
  3. 4
  4. 17
  5. 13
  6. 48
  7. 27
  8. p ÷ 2
  9. 16
  10. 18
  11. 3
  12. n − 9
  13. 21
  14. 90
  15. 4n
  16. 14
  17. 54
  18. 18
  19. 20
  20. 11
  21. 5
  22. 74
  23. 18
  24. 24
  25. 11
  26. 5n
  27. 2
  28. 14
  29. 70
  30. 76
  31. 5
  32. 2
  33. 3n
  34. 19
  35. 94
  36. 46
  37. 25
  38. 33
  39. 18
  40. 8

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